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Suzie’s Discount Footwear sells all pairs of shoes for one price and

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Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post 27 Jul 2016, 01:47
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Difficulty:

  25% (medium)

Question Stats:

90% (02:03) correct 10% (02:21) wrong based on 51 sessions

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Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00

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Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post Updated on: 29 Jul 2016, 00:57
1
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option B is correct answer.

OA plesae...will correct if I missed anything.

Originally posted by msk0657 on 27 Jul 2016, 03:37.
Last edited by msk0657 on 29 Jul 2016, 00:57, edited 2 times in total.
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Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post 27 Jul 2016, 13:41
1
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


22S+16B= 650
8S+32B= 760

Solving above two equations we get:-
S=15
B=20

And the difference is 5

B is the answer
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Joined: 27 Jul 2016
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GMAT 1: 700 Q59 V34
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Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post 27 Jul 2016, 22:18
1
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B
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Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post 29 Jul 2016, 00:58
ABHISHEK8998 wrote:
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B


Thanks..I edited the option...:)
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Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and [#permalink]

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New post 06 Mar 2018, 11:27
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


We can let h and b = the price per pair of shoes and boots, respectively, and create the equations:

22h + 16b = 650

11h + 8b = 325 (Eq. 1)

and

8h + 32b = 760

h + 4b = 95 (Eq. 2)

Multiplying Eq. 2 by -2 we have:

-2h - 8b = -190 (Eq. 3)

Adding Eq. 1 and Eq. 3 we have:

9h = 135

h = 15

Substituting h = 15 into Eq. 2 we have:

15 + 4b = 95

4b = 80

b = 20

Thus a pair of boots costs 20 - 15 = 5 dollars more than a pair of shoes.

Answer: B
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Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and   [#permalink] 06 Mar 2018, 11:27
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